PALM BEACH, Fla. -- The Giants are only two months removed from winning the Super Bowl, but they've been overshadowed in New York by Tebow-mania.

That's fine by Tom Coughlin. As far as he's concerned, the Jets can have the headlines, he's got the Lombardi Trophy. He doesn't think the fans have forgotten what they accomplished.

"You know who won the Super Bowl, you know who the world champions are," Coughlin told reporters Wednesday morning at the NFL meetings. "Whether we’re on the front page every day or not, it’s not that important. New Yorkers know."

This came three days after Giants co-owner John Mara mocked the Jets' acquisition of Tim Tebow, saying they were planning to have a news conference for their recently-signed backup, David Carr.

Coughlin didn't want to comment on the Tebow trade -- "That's their business," he said -- but he praised Tebow as a football player, calling him "physically tough ... a guy that's going to be a force in your locker room."

Asked if he'd ever consider removing his "guy" for 20 snaps per game, as the Jets have suggested they might do with Mark Sanchez so Tebow could run the wildcat, Coughlin looked increduously at the questioner.

"Our guy?" he asked, referring to Super Bowl MVP Eli Manning.

In a one-hour sitdown with reporters, Coughlin touched on a variety of topics:

• On this week's annoucement that the Giants will face the Cowboys in the NFL opener: Coughlin said he wasn't surprised because "the league always does a great job of making it a very attractive." That the game will be played on a Wednesday night, he admitted, will be a challenge in terms of the training-camp and practice schedule.

• On re-signing RB Brandon Jacobs: "I think it’s a possibility. Brandon wanted the opportunity to go out into the marketplace and see what he could do with the opportunity, and it was granted. We'll just see." The Giants are looking for a backup to Ahmad Bradshaw. UPDATE: Jacobs has agreed to a deal with the 49ers, a league source told ESPN's Adam Schefter.

Coughlin said it's hard to cut players that contribute to a championship, adding, "There is some sentiment involved in it, but we don’t say goodbye, we say, 'Next time.'"

• On the future of DE Osi Umenyiora: Coughlin said he has no plans to part ways with Umenyiora, who staged a training-camp holdout last summer. He wants Osi back. "I'm not thinking of anything else," he said.

• His hysterical recollection of his post-game hug with rap star Flavor Flav: "I finished (an interview with the NFL Network) and I get up. This guy is waiting for me with these glasses, big glasses, and a clock on his chest. He's kind of right in front of me. I walk by. I mean, I'm hugging sign posts at that time. He grabbed me and hugged me. I walked away and one of my kids says, 'Dad, you know who that was?' I said, 'No, I don't know who that was.' They said, 'Fava Flav' -- a rap singer. Then we're at the parade and (Brandon) Jacobs reaches down, grabs him by the hand, pulls him up and he's on the float. I'm on one of the floats with him, too!"